In 1937-1941 and 1945-1960 he worked at the Kharkiv Institute of Physics and Technology, Academy of Sciences of the Ukrainian SSR. There he participated in a number of physical discoveries: in 1945 - the opening of the detector properties of superconductors, in 1957 - the opening of the cyclotron resonance on the tin, and lead, in 1958 - the opening of the sound velocity dispersion in the magnetic field, in 1959 - the opening of the oscillations of ultrasound absorption coefficient .

In 1960 he participated in the discovery of the anisotropy of the energy gap in the superconducting tin.

In 1960-1965 he was the deputy director of the Physico-Technical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR.

In 1965 he participated in the opening of the Rashba combined resonance in semiconductors.

In 1965 he became an academician of the Academy of Sciences of the Ukrainian SSR.

Founded in 1965, Donetsk Physical-Technical Institute of the USSR Academy of Sciences and led the institute until 1982.

In DonIPhT Galkin became the founder of Donetsk scientific school of high pressure physics and spectroscopy of solids.

The main areas of research in Galkina DonIPhT were solid-state physics, condensed matter, radio spectroscopy, superconductivity, physics of high pressures.

In 1970 he opened a thermodynamically stable domain structure in antiferromagnets.

In 1971 he opened the irreversible effect of inducing new ferromagnetic states a strong magnetic field.

In 1971, for his work "Discovery, Experimental and theoretical investigation of the intermediate state of antiferromagnets" VG Bar`yakhtar, AA Galkin, SN Kovner, EP Stefanovsky received the State Prize of the USSR.

In 1972, Galkin has developed a method of non-stationary hydrostatic.

In 1975, for his work "The induction of a new state of matter a strong magnetic field" AA Galkin and EA Zawadzki received a prize named after KD Sinelnikov.

In 1977 he opened doppleron-phonon resonance in cadmium and molybdenum.

In 1982 zarabotu "Development and research of high-temperature superconductors with practical parameters" AA Galkin, VP Buriak, NI Matrosov received the State Prize of the USSR.

At the initiative of leading scientists Galkin Donetsk Physico-Technical Institute taught at the Physics Department of Donetsk State University and trained new staff for the institute. Galkin himself also was a professor of Donetsk State University.

Died October 22, 1982.

In 1994, the Donetsk Physico-Technical Institute was named after Alexander Alexandrovich Galkin. On the plaque installed institute building. The institute is set Galkin monument.